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. 2014:2014:304213.
doi: 10.1155/2014/304213. Epub 2014 Sep 11.

The assignment of scores procedure for ordinal categorical data

Han-Ching Chen  1 , Nae-Sheng Wang  1
Affiliations

The assignment of scores procedure for ordinal categorical data

Han-Ching Chen et al. ScientificWorldJournal. 2014.

Abstract

Ordinal data are the most frequently encountered type of data in the social sciences. Many statistical methods can be used to process such data. One common method is to assign scores to the data, convert them into interval data, and further perform statistical analysis. There are several authors who have recently developed assigning score methods to assign scores to ordered categorical data. This paper proposes an approach that defines an assigning score system for an ordinal categorical variable based on underlying continuous latent distribution with interpretation by using three case study examples. The results show that the proposed score system is well for skewed ordinal categorical data.

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Figures

Figure 1
Figure 1
The correlation plot of s j and r j.
Figure 2
Figure 2
The plot of assigned score a j and underlying latent variable.
Figure 3
Figure 3
Proability plots comparing the results of scores under the different distributions with the formula of Theorem 1. (a) Equal Space, (b) normal distribution, (c) logistic distribution, and (d) lognormal distribution.
See this image and copyright information in PMC

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